Finding the Fourth Proportional to 2,657.51, 3,667.07 and 1,538.21

Step by Step Solution

1. Step 1: Write the proportion equation
   2,657.51 : 3,667.07 = 1,538.21 : x
2. Step 2: Convert to fraction form
   2,657.51/3,667.07 = 1,538.21/x
3. Step 3: Cross multiply
   2,657.51x = 3,667.07 × 1,538.21
4. Step 4: Simplify right side
   2,657.51x = 5,640,697.72
5. Step 5: Solve for x
   x = 5,640,697.72/2,657.51
6. Step 6: Final answer
   x = 2,122.55